34401190880000 has 270 divisors, whose sum is σ = 99816951722796. Its totient is φ = 11794691328000.

The previous prime is 34401190879973. The next prime is 34401190880029. The reversal of 34401190880000 is 8809110443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5646047 + ... + 10033953.

Almost surely, 2^{34401190880000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401190880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49908475861398).

34401190880000 is an abundant number, since it is smaller than the sum of its proper divisors (65415760842796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34401190880000 is an frugal number, since it uses more digits than its factorization.

34401190880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387957 (or 4387921 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

Adding to 34401190880000 its reverse (8809110443), we get a palindrome (34409999990443).

The spelling of 34401190880000 in words is "thirty-four trillion, four hundred one billion, one hundred ninety million, eight hundred eighty thousand".